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22. What is the 20th decimal digit of the repeating

fraction 3/7?
E. 4 F.2
G. 5 H. 1

1 Answer

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Final answer:

The 20th decimal digit of the repeating fraction 3/7 is 8.


Step-by-step explanation:

To find the 20th decimal digit of the repeating fraction 3/7, we can use long division or convert the fraction to a decimal. When we divide 3 by 7, we get 0.4285714285714285... as the decimal representation. The repeating block in this decimal is 285714. Since the digits in the repeating block repeat indefinitely, we can identify the 20th digit by finding the remainder when dividing 20 by 6 (the number of digits in the repeating block). The remainder is 2, which means the 20th decimal digit is 8.


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